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Finding the Fourth Proportional to 6,624.34, 9,914.88 and 4,868.88

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Solution

The fourth proportional to 6,624.34, 9,914.88 and 4,868.88 is: 7,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.34 : 9,914.88 = 4,868.88 : x
  2. Step 2: Convert to fraction form
    6,624.34/9,914.88 = 4,868.88/x
  3. Step 3: Cross multiply
    6,624.34x = 9,914.88 × 4,868.88
  4. Step 4: Simplify right side
    6,624.34x = 48,274,360.93
  5. Step 5: Solve for x
    x = 48,274,360.93/6,624.34
  6. Step 6: Final answer
    x = 7,287.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.